866159798169600 has 3120 divisors, whose sum is σ = 3745215955599360. Its totient is φ = 195641671680000.

The previous prime is 866159798169599. The next prime is 866159798169647. The reversal of 866159798169600 is 6961897951668.

866159798169600 is a `hidden beast` number, since 8 + 6 + 6 + 1 + 597 + 9 + 8 + 16 + 9 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 866159798169600.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 105745301505 + ... + 105745309695.

Almost surely, 2^{866159798169600} is an apocalyptic number.

866159798169600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 866159798169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872607977799680).

866159798169600 is an abundant number, since it is smaller than the sum of its proper divisors (2879056157429760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

866159798169600 is a wasteful number, since it uses less digits than its factorization.

866159798169600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8328 (or 8292 counting only the distinct ones).

The product of its (nonzero) digits is 2116316160, while the sum is 81.

The spelling of 866159798169600 in words is "eight hundred sixty-six trillion, one hundred fifty-nine billion, seven hundred ninety-eight million, one hundred sixty-nine thousand, six hundred".